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Finding the Fourth Proportional to 6,464.50, 8,919.56 and 3,812.02

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Solution

The fourth proportional to 6,464.50, 8,919.56 and 3,812.02 is: 5,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.50 : 8,919.56 = 3,812.02 : x
  2. Step 2: Convert to fraction form
    6,464.50/8,919.56 = 3,812.02/x
  3. Step 3: Cross multiply
    6,464.50x = 8,919.56 × 3,812.02
  4. Step 4: Simplify right side
    6,464.50x = 34,001,541.11
  5. Step 5: Solve for x
    x = 34,001,541.11/6,464.50
  6. Step 6: Final answer
    x = 5,259.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.